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We discuss the ultra-relativistic gravitational scattering of two massive particles at two-loop (3PM) level. We find that in this limit the real part of the eikonal, determining the deflection angle, is universal for gravitational theories…

High Energy Physics - Theory · Physics 2020-12-30 Paolo Di Vecchia , Carlo Heissenberg , Rodolfo Russo , Gabriele Veneziano

The most important parameters in the study of low-energy scattering are the s-wave and p-wave scattering lengths and the s-wave effective range. We solve the scattering problem and find two useful formulas for the scattering length and the…

Quantum Physics · Physics 2023-02-17 Jordi Pera , Jordi Boronat

Motion of test particles in the gravitational field associated with an electromagnetic plane wave is investigated. The interaction with the radiation field is modeled by a force term {\it \`a la} Poynting-Robertson entering the equations of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico

We compute scattering amplitudes involving one massive scalar and two, three, or four gravitons. We show that when the conformal dimension of the massive scalar is set to zero, the resulting celestial correlators depend {\it only} on the…

High Energy Physics - Theory · Physics 2023-10-03 Adam Ball , Shounak De , Akshay Yelleshpur Srikant , Anastasia Volovich

The interactions of gravitons with spin-1 matter are calculated in parallel with the well known photon case. It is shown that graviton scattering amplitudes can be factorized into a product of familiar electromagnetic forms, and cross…

General Relativity and Quantum Cosmology · Physics 2017-04-07 N. E. J. Bjerrum-Bohr , Barry R. Holstein , John F. Donoghue , Ludovic Planté , Pierre Vanhove

We consider scattering exponents arising in small-angle scattering from power-law polydisperse surface and mass fractals. It is shown that a set of fractals, whose sizes are distributed according to a power-law, can change its fractal…

Materials Science · Physics 2022-08-31 Alexander Yu. Cherny , Eugen M. Anitas , Vladimir A. Osipov , Alexander I. Kuklin

The angular momentum radiated in gravitational scattering can be changed by performing a supertranslation of the asymptotic metric, i.e. by adding radiation with infinite wavelenght to the metric. This puzzling property can be avoided by…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Reza Javadinezhad , Massimo Porrati

We derive the limiting form of graviton radiation in gravitational scattering at transplanckian energies ($E\gg M_P$) and small deflection angles. We show that --- owing to the graviton's spin 2 --- such limiting form unifies the soft- and…

High Energy Physics - Theory · Physics 2016-02-24 Marcello Ciafaloni , Dimitri Colferai , Francesco Coradeschi , Gabriele Veneziano

Scattering of random surface gravity waves by small amplitude topography in the presence of a uniform current is investigated theoretically. This problem is relevant to ocean waves propagation on shallow continental shelves where tidal…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Rudy Magne , Fabrice Ardhuin

Gravitational waves propagating across gravitational potentials undergo lensing effects that, in the wave-optics regime, manifest as frequency-dependent amplitude and phase modulations. In this work, we revisit the diffraction integral…

High Energy Physics - Theory · Physics 2026-01-09 Mariana Carrillo Gonzalez , Valerio De Luca , Alice Garoffolo , Julio Parra-Martinez , Mark Trodden

Quantum Electrodynamics (QED) serves as a useful toy model for classical observables in gravitational two-body systems with reduced complexity due to the linearity of QED. We investigate scattering observables in scalar QED at the sixth…

High Energy Physics - Theory · Physics 2022-09-07 Zvi Bern , Juan Pablo Gatica , Enrico Herrmann , Andres Luna , Mao Zeng

In this paper, we initiate the study of multi-flavor Galileon theories using the methods of scattering amplitudes. We explore this topic from different perspectives and extend the techniques employed so far mainly in the single-flavor case.…

High Energy Physics - Theory · Physics 2020-12-30 Karol Kampf , Jiri Novotny

General relativity predicts that massless waves should scatter from the Riemann curvature of their backgrounds. These scattered waves are sometimes called $\textit{tails}$ and have never been directly observed. Here we calculate the…

General Relativity and Quantum Cosmology · Physics 2025-01-06 Daniel A. Kessler , Craig J. Copi , Glenn D. Starkman

We present a general framework with which the Schwarzschild-Tangherlini metric of a point particle in arbitrary dimensions can be derived from a scattering amplitude to all orders in the gravitational constant, $G_N$, in covariant gauge…

High Energy Physics - Theory · Physics 2020-11-05 Gustav Uhre Jakobsen

A generalization of Wilson line operators at subleading power in the soft expansion has been recently introduced as an efficient building block of gravitational scattering amplitudes for non-spinning objects. The classical limit in this…

High Energy Physics - Theory · Physics 2024-12-23 Domenico Bonocore , Anna Kulesza , Johannes Pirsch

A second order classical perturbation theory is developed and applied to elastic atom corrugated surface scattering. The resulting theory accounts for experimentally observed asymmetry in the final angular distributions. These include…

Materials Science · Physics 2014-01-16 Eli Pollak , S. Miret-Artes

The effective field theory of quantum gravity generically predicts non-locality to be present in the effective action, which results from the low-energy propagation of gravitons and massless matter. Working to second order in gravitational…

High Energy Physics - Theory · Physics 2018-10-17 Xavier Calmet , Basem Kamal El-Menoufi , Boris Latosh , Sonali Mohapatra

We initiate a general investigation into gravitational wave signatures of modifications to scattering of gravitational radiation from black holes. Such modifications may be present due to the quantum dynamics that makes black holes…

General Relativity and Quantum Cosmology · Physics 2024-06-07 Kwinten Fransen , Steven B. Giddings

It is shown that Birkhoff's theorem for the general theory of relativity is overcome in the $f(R)$-theory of gravitation. That means, the $f(R)$-theory of gravitation, unlike Einstein's general theory of relativity, does not forbid…

General Relativity and Quantum Cosmology · Physics 2024-04-18 Pham Van Ky , Nguyen Thi Hong Van , Nguyen Anh Ky

Typically one expects that when a heavy particle collides with a surface, the scattered angular distribution will follow classical mechanics. The heavy mass assures that the de Broglie wavelength of the incident particle in the direction of…

Chemical Physics · Physics 2015-05-19 Jeremy M. Moix , Eli Pollak